To be eligible for the BSc degree program at Lal Bahadur Shastri College in Satara, candidates must have completed their 10+2 education from a recognized board with a minimum aggregate of 50% marks in science subjects. Additionally, candidates must have a strong foundation in subjects like Physics, Chemistry, and Mathematics. Entrance exams may be required for admission, and candidates must meet the cutoff scores set by the college. Prior experience in extracurricular activities or relevant work experience may also be considered during the selection process. Overall, candidates must demonstrate a passion for science and a commitment to academic excellence to be eligible for the BSc degree program at Lal Bahadur Shastri College.